Question

Rachel bought a rug for her apartment. The rug is 12 feet long and 9 feet wide. Find the diagonal length of the rug​

Answer 1

Answer:

The diagonal is 14.21 feet.

Step-by-step explanation:

Imagine the rug has the vertices A, B, C, and D. The length (A to B) is 11 ft, and the width (B to C) is 9 ft. You want to find the distance between A and C. The AC line creates two right triangles in the rug, so you can use the Pythagorean theorem to solve the problem.

The Pythagorean theorem is a^2 + b^2 = c^2

In this case, AB^2 + BC^2 = AC^2

                    11^2 + 9^2 = AC^2

                    202 = AC^2

                     AC = √(202)

                     AC = 14.21

* The approximate answer is 14.21 ft.